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148581355920 = 24351773659757
BaseRepresentation
bin1000101001100000100…
…0111001000110010000
3112012111220000221001020
42022120020321012100
54413243311342140
6152131330035440
713506661454454
oct2123010710620
9465456027036
10148581355920
1158016335928
1224967718b80
131101b6a37aa
1472971c8664
153ce92a56d0
hex2298239190

148581355920 has 320 divisors, whose sum is σ = 495781482240. Its totient is φ = 36675846144.

The previous prime is 148581355907. The next prime is 148581355927. The reversal of 148581355920 is 29553185841.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (148581355927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196276182 + ... + 196276938.

It is an arithmetic number, because the mean of its divisors is an integer number (1549317132).

Almost surely, 2148581355920 is an apocalyptic number.

148581355920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148581355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247890741120).

148581355920 is an abundant number, since it is smaller than the sum of its proper divisors (347200126320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148581355920 is a wasteful number, since it uses less digits than its factorization.

148581355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 148581355920 in words is "one hundred forty-eight billion, five hundred eighty-one million, three hundred fifty-five thousand, nine hundred twenty".